1 Appendix A. Residential and School Features

$Residential Features: (a) Census Unit Scales (b) Urban Context Typology$

Figure 1.1: Residential Features: (a) Census Unit Scales (b) Urban Context Typology

Figure 1.2: School locations (with kernel density estimation)

2 Appendix B. Allocation Model vs Simple Allocation (without capacity constrain)

Table 2.1: Distance to schools by urban context
Urban context	Simple	Model	Ratio (Model / Simple)
Colonial Historic City	436	453	1.04
Central Business District	551	618	1.12
High Class Residential	405	494	1.22
Middle Class Residential	500	656	1.31
Low Class Residential	509	723	1.42
Social housing	650	1017	1.56
Urban Informal Neighborhoods	730	1719	2.35
Total mean	503	738	1.47

Table 3.1: Segregeation index (real and modelled situation)
	Real		Model
Segregation Index	Residential Segregation	School Segregation	Model Segregation	% Explained
Dissimilarity Primary and Higher education ($D_{pri;hig}$)	0.37	0.62	0.40	64.2%
Multi-group dissimilarity ($D^{*}$)	0.20	0.39	0.21	54.0%
Mutual Information Index ($M$)	0.07	0.20	0.08	41.3%
Segregation: Primary ($IS_{pri}$)	0.29	0.47	0.30	63.2%
Segregation: Secondary ($IS_{sec}$)	0.09	0.22	0.07	32.0%
Segregation: Higher education ($IS_{sup}$)	0.26	0.48	0.28	58.4%
Multi-group Gini Multi-group ($G^{*}$)	0.29	0.52	0.30	57.5%
Normalized Isolation: Primary ($ETA_{pri}^2$)	0.11	0.23	0.12	52.6%
Normalized Isolation: Secondary ($ETA_{sec}^2$)	0.01	0.06	0.01	11.8%
Normalized Isolation: Higher education ($ETA_{sup}^2$)	0.10	0.30	0.11	36.1%
Multi-group normalized exposure ($P^{*}$)	0.07	0.20	0.07	35.6%

Figure 4.1: Segregation index by Census Unit Sales (Radio, Fraccion Barrio, and Comuna)